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题目内容
The price of n nails is d dollars. At this rate, what is the price of $$n+600$$ nails, in dollars?
List $$L$$ consists of $$9$$ different numbers, all of which are positive integers. The median of the numbers in $$L$$ is $$11$$. What is the least possible average (arithmetic mean) of the numbers in $$L$$?
$$x \gt 8$$

Quantity A

$$(5+x)(8-x)$$

Quantity B

$$0$$
$$rst \neq 0$$

Quantity A

$$(-r)(-s)(-t)$$

Quantity B

$$(r)(-s)(-t)$$
If $$c^3d^2 \lt 0$$, which of the following statements must be true?
Indicate all such statements.
$$x$$ and $$y$$ are integers.
Which of the following statements individually provide(s) sufficient additional information to conclude that $$x$$ is negative?
Indicate all such statements.
$$ab^4 \lt 0$$

Quantity A

$$a^3b^2$$

Quantity B

$$0$$
$$r^2t \lt 0$$ and $$r \lt 0$$
Which of the following must be a positive number?
Indicate all such numbers.
$$a$$ and $$b$$ are negative, and $$(a+b)(a-b) \lt 0$$.

Quantity A

$$a$$

Quantity B

$$b$$
If $$x=y$$, which of the following must be positive?
If $$-3 \leq x \leq 4$$, and $$-9 \leq y \leq 3$$, what is the greatest possible value of $$xy$$?
The manager of dining services at a small company plans to purchase at least $$225$$ hotdogs and at least $$225$$ buns for the company picnic. The hot dogs can be purchased only in packages of $$10$$, and the buns can be purchased only in packages of $$8$$. If the cost of each package of hot dogs is $$$2.99$$ and the cost of each package of buns is $$$1.48$$, which of the following is closest to the least total cost of the hot dogs and buns that the manager plans to purchase?
A list of $$12$$ consecutive integers contain more negative numbers than positive numbers.

Quantity A

The sum of the numbers on the list

Quantity B

$$-4$$
If an integer is chosen at random from the integers between $$101$$ and $$550$$, inclusive, what is the probability that the chosen integer will be between $$542$$ and $$550$$, inclusive?
$$d = 0.123456789101112...$$ is the decimal obtained by writing all the positive integers in succession after the decimal point.

Quantity A

The $$100$$th digit to the right of the decimal point

Quantity B

$$5$$
Along a certain highway, the first milepost a motorist encountered was numbered $$350$$, the second encountered was numbered $$349$$, and so on in decreasing consecutive order. The twenty-fifth milepost encountered was numbered
$$x$$, $$y$$, and $$z$$ are consecutive integers such that $$x \lt y \lt z$$

Quantity A

The average (arithmetic mean) of $$x$$, $$x$$, $$y$$, and $$z$$

Quantity B

$$y$$
$$x$$, $$y$$, and $$z$$ are consecutive positive integers
$$x \lt y \lt z$$

Quantity A

$$\frac{xy}{z}$$

Quantity B

$$z-\frac{1}{z}$$
The present ages of 3 people are consecutive whole numbers of years. Ten years from now their average (arithmetic mean) age will be 3 times their average age now. What is the present age of the oldest person?
If the median of $$19$$ different integers is $$236$$, what is the least possible range of the integers?

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